Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity

Abstract: We show that Zwei-Dreibein Gravity (ZDG), a bigravity theory recently proposed by Bergshoeff, de Haan, Hohm, Merbis, and Townsend in ref. [1], admits exact solutions with anisotropic scale invariance. These type of geometries are the three-dimensional analogues of the spacetimes which were...

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Detalles Bibliográficos
Publicado: 2014
Materias:
Black Holes
Classical Theories of Gravity
Holography and condensed matter physics (AdS/CMT)
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09337954_v2014_n9_p_Goya
http://hdl.handle.net/20.500.12110/paper_09337954_v2014_n9_p_Goya
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_09337954_v2014_n9_p_Goya2023-06-08T15:53:13Z Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity Black Holes Classical Theories of Gravity Holography and condensed matter physics (AdS/CMT) Abstract: We show that Zwei-Dreibein Gravity (ZDG), a bigravity theory recently proposed by Bergshoeff, de Haan, Hohm, Merbis, and Townsend in ref. [1], admits exact solutions with anisotropic scale invariance. These type of geometries are the three-dimensional analogues of the spacetimes which were proposed as gravity duals for condensed matter systems. In particular, we find Schrödinger invariant spaces as well as Lifshitz spaces with arbitrary dynamical exponent z. We also find black holes that are asymptotically Lifshitz with z = 3, showing that these (non-constant curvature) solutions of New Massive Gravity (NMG) are persistent after the introduction of the infinite tower of higher-curvature terms of ZDG, provided a renormalization of the parameters. Black holes in asymptotically warped Anti-de Sitter spaces are also found. Interestingly, in almost all the geometries studied in this work, the metric associated with the second dreibein turns out to be equivalent, up to a constant global factor, to the first one. This phenomenon has been previously observed in other bigravity theories in asymptotically flat and asymptotically Anti-de Sitter backgrounds. However, for the particular case of the z = 3 Lifshitz black hole, here we found that the second metric corresponds to a different black hole that coincides with the former only in the asymptotic region. In fact, we find a new family of z = 3 black holes that corresponds to a one-parameter deformation of the NMG solution. © 2014, The Author(s). 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09337954_v2014_n9_p_Goya http://hdl.handle.net/20.500.12110/paper_09337954_v2014_n9_p_Goya
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Black Holes
Classical Theories of Gravity
Holography and condensed matter physics (AdS/CMT)
spellingShingle Black Holes
Classical Theories of Gravity
Holography and condensed matter physics (AdS/CMT)
Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity
topic_facet Black Holes
Classical Theories of Gravity
Holography and condensed matter physics (AdS/CMT)
description Abstract: We show that Zwei-Dreibein Gravity (ZDG), a bigravity theory recently proposed by Bergshoeff, de Haan, Hohm, Merbis, and Townsend in ref. [1], admits exact solutions with anisotropic scale invariance. These type of geometries are the three-dimensional analogues of the spacetimes which were proposed as gravity duals for condensed matter systems. In particular, we find Schrödinger invariant spaces as well as Lifshitz spaces with arbitrary dynamical exponent z. We also find black holes that are asymptotically Lifshitz with z = 3, showing that these (non-constant curvature) solutions of New Massive Gravity (NMG) are persistent after the introduction of the infinite tower of higher-curvature terms of ZDG, provided a renormalization of the parameters. Black holes in asymptotically warped Anti-de Sitter spaces are also found. Interestingly, in almost all the geometries studied in this work, the metric associated with the second dreibein turns out to be equivalent, up to a constant global factor, to the first one. This phenomenon has been previously observed in other bigravity theories in asymptotically flat and asymptotically Anti-de Sitter backgrounds. However, for the particular case of the z = 3 Lifshitz black hole, here we found that the second metric corresponds to a different black hole that coincides with the former only in the asymptotic region. In fact, we find a new family of z = 3 black holes that corresponds to a one-parameter deformation of the NMG solution. © 2014, The Author(s).
title Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity
title_short Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity
title_full Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity
title_fullStr Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity
title_full_unstemmed Anisotropic scale invariant spacetimes and black holes in Zwei-Dreibein Gravity
title_sort anisotropic scale invariant spacetimes and black holes in zwei-dreibein gravity
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09337954_v2014_n9_p_Goya
http://hdl.handle.net/20.500.12110/paper_09337954_v2014_n9_p_Goya
_version_ 1768542227378733056

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